A right circular cylinder's height increases by 96% while its radius decreases by 25%. What is the approximate percentage change in its volume? Select the nearest integer.
Show answer & explanation
Correct answer: B
Explanation
Has been given :
Increase in height = 96%
Reduction in radius = 25%
According to the formula:
Volume of cylinder = πr²h
New radius = 0.75r
New height = 1.96h
New volume= π(0.75r)²(1.96h)
= πr²h × (0.75² × 1.96)
= V × (0.5625 × 1.96)
= V × 1.1025
Change in volume= (1.1025 − 1) × 100= 10.25%
about 10% increase